5.4 Indefinite Integrals and the Net Change Theorem/5: Difference between revisions

Revision as of 02:23, 6 September 2022

$\int _{}^{}\left(x^{2}+x^{-}2\right)dx$

= $\int _{}^{}\left((x^{2})dx)+((x^{-}2\right)dx)$

= ${\frac {x^{3}}{3}}+{\frac {x^{-}1}{-1}}+C$

= ${\frac {1}{3}}x^{3}-{\frac {1}{x}}+C$

@@ Line 1: / Line 1: @@
-<math>\int_{}^{}\left(3+x\sqrt{x}\right)dx
+<math>\int_{}^{}\left(x^2+x^-2\right)dx</math>
+=<math>\int_{}^{}\left((x^2)dx)+((x^-2\right)dx)</math>
+=<math>\frac{x^3}{3}+\frac{x^-1}{-1}+C</math>
+=<math>\frac{1}{3}x^3-\frac{1}{x}+C</math>